Answer:
The exponential growth function is [tex]P(x)=5.92(1.0277)^x[/tex]
Step-by-step explanation:
Given:
Initial population of a city is, [tex]P_0=5.92\ million[/tex]
Exponential growth rate is, [tex]r=2.77\%=0.0277[/tex]
Let the population for a given year 'x' be [tex]P(x)[/tex] millions.
Now, the exponential growth of a population is given as:
[tex]P(x)=P_0(1+r)^x[/tex]
Plug in 5.92 for [tex]P_0[/tex] and 0.0277 for [tex]r[/tex]. This gives,
[tex]P(x)=5.92(1+0.0277)^x\\P(x)=5.92(1.0277)^x[/tex]
Therefore, the exponential growth function is [tex]P(x)=5.92(1.0277)^x[/tex].
